153288980 has 48 divisors (see below), whose sum is σ = 354756864. Its totient is φ = 55278720.

The previous prime is 153288953. The next prime is 153289001. The reversal of 153288980 is 89882351.

It is a super-2 number, since 2×153288980² = 46995022778880800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4325 + ... + 18035.

It is an arithmetic number, because the mean of its divisors is an integer number (7390768).

Almost surely, 2^153288980 is an apocalyptic number.

153288980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153288980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177378432).

153288980 is an abundant number, since it is smaller than the sum of its proper divisors (201467884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153288980 is a wasteful number, since it uses less digits than its factorization.

153288980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13776 (or 13774 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 153288980 is about 12380.9926904106. The cubic root of 153288980 is about 535.1846452651.

The spelling of 153288980 in words is "one hundred fifty-three million, two hundred eighty-eight thousand, nine hundred eighty".